The knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.



If s represents the number of scarves sold and h represents the number of hats sold, which system of equations represents the constraints of the situation?

Group of answer choices



A. s + h =40

18s +14h = 700

B. 18s +14h =40

s + h =700

C. 40s + h +700

18s + 14h = 700

D. No answer text provided.

Answers

Answer 1

Answer:

               A.       s + h = 40                        18s + 14h = 700

Step-by-step explanation:

club sold 40 scarves and hats so the sum of scarves and hats is 40

s + h = 40       - one of equations

They charged $18 for each scarf and $14 for each hat so:

18×s   - money made from scarves

14×h   - money made from hats

18s + 14h  - sum of money made from scarves and hats so:

18s + 14h = 700      - second of equatinons

                                       

Answer 2

The system of equations represents the constraints of the situation are   s + h = 40 and 18s + 14h = 700.Option A is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that, the knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.

If s represents the number of scarves sold and h represents the number of hats sold.

The system of equations is as follows,

s + h =40

18s +14h = 700

Thus,the system of equations represents the constraints of the situation are   s + h = 40 and 18s + 14h = 700.Option A is correct.

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Related Questions

In the figure shown below, if line m is parallel to line n, then find the value of x

Answers

Answer:

Step-by-step explanation:

The two angles shown are considered "alternate interior angles" because they lie on the INSIDE of two parallel lines, but on alternate/opposite sides of the transversal line. Alternate interior angles are congruent. You can use transformations to see that they are congruent. Therefore, you should set the two expressions equal to each other and solve for x.

The value of x is 25.

Given,

Line m is parallel to line n

The figure has two alternate interior angles.

- (2x - 10)°

- (65 - x)°

We need to find x.

What does Alternate Angles Theorem says?

It states that when two parallel lines are cut by a transversal the resulting alternate interior angles or alternate exterior angles are congruent.

We have ,

From the figure:

Two alternate interior angles.

- (2x - 10)°

- (65 - x)°

Since line m and line n are parallel and from the alternate angles theorem

we see that,

2x - 10 = 65 - x

2x + x = 65 + 10

3x = 75

x = 75/3

x = 25

Thus the value of x is 25.

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Kira started a game at 4:37 PM and finished it at 5:16 PM.
How long did it take her? Give your answer in minutes.

Answers

Answer:

39

Step-by-step explanation:

4:37 till 5:00 is 23 minutes.

+ 16 minutes

= 23 + 16

Answer:

39 minutes

Step-by-step explanation:

First, find how much time passed between 4:37 PM and 5 PM.

Since there are 60 minutes in an hour, subtract 37 from 60:

60 - 37

= 23

There are 16 minutes in between 5 PM and 5:16 PM.

So, add the 23 minutes to 16:

23 + 16

= 39

So, it took her 39 minutes

What is 2 ^ 5/3 raised to the third power? Simplify your answer.

Answers

Answer:

2^5 or 32

Step-by-step explanation:

Maybe Answer: 2^5 or 32

All of the points in the picture are one the same line

Answers

I think a=5 and b=6
Im pretty sure A=5 and b=6

A school has 625 students and 25 teachers. Which of these statements is true based on this information? A) The school has a ratio of 5 students to 1 teacher. B) The school has a ratio of 5 teachers to 1 student. C) The school has a ratio of 25 students to 1 teacher. D) The school has a ratio of 25 teachers to 1 student.​

Answers

The statement that is true based on the information that a school has 625 students and 25 teachers is that the school has a ratio of 25 students to 1 teacher.

According to the question,

We have the following information:

A school has 625 students and 25 teachers.

Now, we have to find the ratio using the given information.

Ratio of students to the teachers can be better understood in simple terms as the number of the students divided by the number of the teachers.

Ratio of students to the teachers = Number of students : number of teachers

Ratio of students to the teachers = 625:25

Dividing both the numbers by 25,

Ratio of students to the teachers = 25:1

So, the school has a ratio of 25 students to 1 teacher.

Hence, the correct option is C.

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Gianna paid $4.75 for a strawberry smoothie. She now has $12.35. How much money did Gianna have before she bought the smoothie? Select all that apply. m - 4.75 = 12.35 A. Add 4.75 to both sides of the equation. B. Subtract 4.75 from both sides of the equation. C. 12.35 + 4.75 = 17.10. D. 12.35 - 4.75 = 7.60. E. Gianna had $7.60 before she bought the smoothie. There is more than one answer.

Answers

Answer:

Add 4.75 to both sides of the equation.

Step-by-step explanation:

using the notation from the options in the answer, say the money that Gianna had was m

And she paid  $4.75 for a strawberry smoothie.

then we can calculate the money she had by subtracting the $4.75  paid for a strawberry smoothie from m and equating it to her the balance she has currently

so mathematically

m-4.75=12.34

Add 4.75 to both sides of the equation we have

m-4.75+4.75=12.34+4.75

m=$17.09

The correct answer is

Gianna had $17.09 before she bought the smoothie

Answer:

A. add 4.75 to both sides of the equation.

C. 12.35 + 4.75 = 17.10

Step-by-step explanation:

find the greatest number show that if 5 is subtracted from it the difference will divided 588 700 and 840​

Answers

Can you please restate lol

The scale of a map is 1 cm : 7 miles find each distance.
A road is 4 cm long on the map. find the actual length of the road.

Answers

pretty sure the answer is 28 miles

J/k - 0.2k when j = 25 and k = 5

Answers

Answer:

4.8

Step-by-step explanation:

J/k - 0.2k when j = 25 and k = 5?

25/5 - 0.2 = ?

5 - 0.2 = 4.8

why we start from the division because in the mathematic rule say's

1. start the inner of the bracket

2. arrange the numbers and the variable

3. the exponents

4. multiplication and division

5. subtraction and addition

and if they ask for the variable we should start from the subtraction and addition

To find the volume of a box that has a 19 by 22 base and 27 layers, I multiply the area of the base times the height.


HELP PLS MY TEACHER NEEDS IT DONE NOW​

Answers

Answer:

11286

Step-by-step explanation:

The volume of a box or a cube is base time height times height.

base × width × height = volume

19 x 22 x 27 = volume

=11286

Hope this helps!

It can be concluded that, the statement made by the student - multiply the area of the base times the height is correct method to find the volume of box.

What is the volume of a Cuboid?

The volume of a cuboid is given by -

V = L x B x H.

where -

L is the length

B is the breadth

H is the height

Given is a statement made by a student who says - To find the volume of a box that has a 19 by 22 base and 27 layers, I multiply the area of the base times the height.

Since the dimensions of the base represent a rectangle, We can place 27 layers over it one after the another, the resulting figure will be a cuboid, such that the height of the cuboid will 27 units. The volume of the box will be -

Area of its base x 27

Or we can write -

19 x 22 x 27

11286 units³

Therefore, it can be concluded that, the statement made by the student - multiply the area of the base times the height is correct method to find the volume of box.

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which one is it
they all have the same 3 options in them

Answers

Answer:

x= 3π

y= [tex]5\sqrt{4}[/tex]

z= [tex]\sqrt{104}[/tex]

Step-by-step explanation:

3×π= 9.424

[tex]5\sqrt{4}[/tex]= 10

[tex]\sqrt{104}[/tex] = 10.198

Hope this helps! :)

Answer:

x= 3π

y=

z=

Step-by-step explanation:

3×π= 9.424

= 10

= 10.198

What goes in the blank below.

In a rotation, the pre-image & image are _______.

The corresponding angles have the ________ measurement.

The corresponding sides have the ________ measurement.

Answers

Answer:

  congruent, same, same

Step-by-step explanation:

In a rotation, the pre-image & image are congruent.

The corresponding angles have the same measurement.

The corresponding sides have the same measurement.

What is the value of the greatest integer. ANSWER THIS ASAP

Answers

Answer:

It should be (67, 68, 69, 70) if im

not mistaken.

Step-by-step explanation:

A grocery store is making fruit baskets using 144 apples, 108 oranges, and 90 pears. Each basket will be identical. What is the greatest number of fruit baskets the store can make using all the fruit?

Answers

i think u multiply all them,dont think im right,if im right let me know.

Answer:

answer is 18

Step-by-step explanation:

Write an equal ratio for the fraction 5/7

Answers

Answer:

To find an equal ratio, you can divide or multiply by the same number on the top and bottom of the fraction. For example...

5 x 2 = 10

7 x 2    14

So, by multiplying 5 and 7 by 2, 10/14 is another fraction that is equal to 5/7. Here's some more possible answers if you need them...

5 x 3 = 15

7 x 3    21

5 x 4 = 20

7 x 4    28

Hope this helped you c:

Find the difference between 8/15 and- -2/3. Show all calculations in your final answer.

I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!

Answers

8/15 - (-2/3)
Its like adding them when its -(-#), so we turn it into 8/15 + 2/3
Now we make each fraction have the same denominator; 8/15 + 10/15
Now we solve by adding; 18/15 = 1 1/5

Answer:

1 1/5

Step-by-step explanation:

LCD = 15

8/15 + 2*5/3*5

8/15+10/15

8+10/15

18/15

6/5

1 1/5

Y = -3x-2 Slope intercept form

Answers

Answer:The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

What is the answer for 6

Answers

Answer:

Non-Linear and there is symmetry

Step-by-step explanation:

If a slice of pizza cost 1.50 and you paid 10.50 how many slices do you get

Answers

Answer:

7 slices.

Step-by-step explanation:

This is an easy division problem. If you remove the decimal places, and use long division accordingly, the answer would be 7 slices.

help me pleaseeeeeeeeee

Answers

Answer:

I believe its B or C

Step-by-step explanation:

Im sorry if its wrong, if its right can you mark me brainliest?

The angle between 0 and 2π in radians that is coterminal with the angel 19π/4 in radians is what?

Answers

Answer:

29/24π

Step-by-step explanation:

To get coterminal angles, you simply have to add or subtract 2π

In this problem, we are looking for a coterminal angle that is between

0 and 2π, so we will add 2π to −19/24π.

−19/24π+2π

=

−19/24π+48/24π

=

29/24π

29/24π

is the answer to the question.

[tex]\frac{11\pi }{4}[/tex] is the coterminal between of [tex]\frac{19\pi }{4}[/tex] between (0, 2[tex]\pi[/tex]).

What is coterminal angle?

Coterminal angles are the angles that have the same initial side and share the terminal sides.

How to find the coterminal angles?

To find the coterminal angle of an angle, we just add or subtract multiples of 360 degrees from the given angles.

According to the given question.

We have

Angle = [tex]\frac{19\pi }{4}[/tex]

Since, the coterminal angle is to be between 0 and 2π.

Therefore, we subtract 2π from [tex]\frac{19\pi }{4}[/tex]to get coterminal angle.

⇒ [tex]\frac{19\pi }{4} -2\pi[/tex] [tex]= \frac{19\pi -8\pi }{4} =\frac{11\pi }{4}[/tex]

Hence, [tex]\frac{11\pi }{4}[/tex] is the coterminal between of [tex]\frac{19\pi }{4}[/tex] between (0, 2[tex]\pi[/tex]).

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pls help ...................

Answers

Answer: Choice D

=======================================================

Explanation:

Start by graphing the system of equations

[tex]\begin{cases}x-y = 6\\2x+5y = -4\\ x = -1\end{cases}[/tex]

This is represented as the boundary lines. The first two equations produce solid boundary lines. The last equation makes a dashed boundary line. We use solid boundary lines whenever "or equal to" is involved with the inequality sign.

Note how 7 separate regions result from the intersecting lines. Check out the diagram below to see the different regions.

--------------------------

To graph [tex]x-y \le 6[/tex] which is the same as [tex]y \ge x-6[/tex], we will shade in regions 1, 2, 4 and 5. All of these regions are above the boundary line y = x-6

Ignore any other region (3,6, and 7) since they don't make the first inequality true.

Of regions 1, 4, 5 and 6, only regions 4 and 5 are below the boundary line 2x+5y = -4. So we cross off regions 1 and 6.

We're now down to just two regions: 4 and 5

We cross off region 5 because it is not to the right of the vertical line x = -1

All that's left is region 4. Any point in region 4 makes all of the three original inequalities true.

So the solution will only have region 4 shaded like choice D shows.

The graph below is a function.

True or false?

Answers

Answer:

true!

Step-by-step explanation:

hi, this graph is a function because it passes the vertical line test. there are no x-values with 2 y-values for the same x.

Brody bought 22 chicken wings for $37.40. If Brody spent $30.60, how many chicken wings did he buy?

Answers

Answer:

18

Step-by-step explanation

18 wings costs exactly 30.60

Help please I feel dumb

Answers

Answer: I feel dumb too i dont like your teacher already that question is tooooooo complicated sry :(

Step-by-step explanation:

Solve by completing the square:
x^2 + 2x - 3 =0
a. - 3 or 1
b. X-3 or -1
C. - 3 or -1
d. 2-3 or 1
Please select the best answer from the choices provided

Answers

Answer:

a

Step-by-step explanation:

Given

x² + 2x - 3 = 0 ( add 3 to both sides )

x² + 2x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = 3 + 1

(x + 1)² = 4 ( take the square root of both sides )

x + 1 = ± [tex]\sqrt{4}[/tex] = ± 2 ( subtract 1 from both sides )

x = - 1 ± 2

Thus

x = - 1 - 2 = - 3

x = - 1 + 2 = 1

help pls im so confused

Answers

the correct answer is c!

if f(1) =160 and f(n+1 )=-2 f(n) what is f(4)

Answers

Move 4 to the left of f :
4f

Alex and Case are starting their own businesses. Alex has $52 from pre-orders and plans on selling the mittens he made for $4 each pair. Case has $35 from pre-orders and plans on selling the mittens he made $5 each pair. Which equation could you use to determine when Alex and Case will have the same amount of money?

Answers

Answer:

Equation could you use to determine when Alex and Case will have the same amount of money is [tex]52+4x=35+5x[/tex]

Step-by-step explanation:

Let x be the pairs of mittens when Alex and Case will have the same amount of money

Alex has amount before orders = $52

He will sell 1 pair of mittens = 4

He will sell x pair of mittens = 4x

So, Alex's total amount = 52+4x

Case has amount before orders = $35

He will sell 1 pair of mittens = 5

He will sell x pair of mittens = 5x

So, Case's total amount = 35+5x

ATQ

52+4x=35+5x

52-35=x

17=x

Hence  the pairs of mittens when Alex and Case will have the same amount of money is 17  and equation could you use to determine when Alex and Case will have the same amount of money is [tex]52+4x=35+5x[/tex]

What is
h(-3) given
h(x) = -12 – xl?

Answers

Answer:

= -6

Step-by-step explanation:

sngdmmgngngngngngngngngngngnfbfbfbfbfbfbf

assuming u added a “l” in there here it is:
Since h(-3) u have to replace x with -3
h(x)=-12-(-3)
negative multiply negative is positive so
h(x)=-12+3
h(x)=-9 <= answer
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Round to the nearest hundredths place.0.45 (x + 1.6) + 5 x = 183.013.1736.4438.4 Based on the information in the story, what would have happened if Nsue did not have an offering at the Festival of the New Moon? A. Nandi would have shared her honey. B. Father would have been disappointed. C. Nsues name would have remained the same. D. Old Man, Gao would have told stories of birds. 1Silently he crept through jagged thornbushes. Bare feet moved swiftly over hot, arid soil to the edge of a waterhole where the kudu was drinking. The great animal suddenly looked up, spiral horns curving sharply into the endless African sky. Nsue1 did not reach for his pouch of poisoned arrows. He had no heart for killing. This would not be the day he would change his childish boyhood name.2Nsue left the salt pan and climbed the barren hillside to the cool twilight of the rock caves. Tonight would be the Festival of the New Moon, and Nsue had nothing to contribute to the feast. His sister, Nandi, had found four plump tsamma melons to share.3Nsue lay on his back and studied the ancient paintings that lined the rock walls. They reminded him of the many stories that Gao, the Old One, told about the San people of long ago. In this harsh desert climate, everyone must hunt for food to survive. Gaos stories honored the brave hunters. Nsue wanted to hide in the caves until the stories were over. It was there that his father found him.4Nsues father knew the reason for the boys unhappiness. He had often heard the older boys teasing his son about his name. Nsue means ostrich egg. He was given this name because when he was a baby in a sling on his mothers back, his shiny oval head looked just like an ostrich egg gleaming in the sun.5Nsue is a fine name, his father said. Ostrich eggs are of great value to our people. One egg can feed twelve hungry men. The empty shells are used to carry and store water. Even the broken pieces become tools or jewelry. Be proud of your name!6Nsue turned his head away. It is the name of a child, not a hunter, he cried. I will never be a skilled hunter like you, Father. I do not wish to kill the beautiful animals of our desert.7Nsues father squatted on his heels and surveyed the vast Kalahari beyond. The spirit gods did not intend for all men to be hunters, he said softly. Some men tell stories around the cooking fires. Others paint our history on the walls of the rock caves. Men like Nxou are keepers of water. Without water, even the bravest hunters would soon die.8Despite his anxiety, Nsue had to smile as he thought of skinny Nxou pressing a dry reed through the sand in just the right place, drawing water to fill 15 ostrich eggs for tonights celebration. I will find something to share at the Festival of the New Moon, Nsue promised as he left the cave and walked into the shimmering heat.9In time, Nsue grew tired and stopped to rest in the shade of a thornbush. 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